I would like to use the addon: Object Shake and apply it to a strip. Is it possible to do that? How?
The addon you refer to will add a shake to an object in the 3Dview, it is not setup to work with a strip in the sequencer.
To add some shake to a VSE strip, you can animate the strip offset and use a noise modifier to add random movement. The same technique can be used on any animated value.
Enable the offset option and insert a keyframe for the X and/or Y offset value. In 2.7x this can be found under Strip Input.
In the graph editor, select the keyframed value and add a noise modifier. Increase the strength and adjust other properties to get a suitable variation. Repeat for the other value if you are keying both.
To restrict the shake to a portion of the strip you can set the Restrict Frame Range options or you can cut your strip where you want the shake to start and stop and add the noise modifier to the smaller strip.